Temperature The given graph shows the outside temperature T in °F, between 6 A.M. and 6 P.M. т 80 70 60 50 40 3 12 9 A.M. 6 A.M. 12 NOON 3 P.M. 6 P.M. Time (hr) a. Estimate the rate of temperature change at the times i) 7 A.M. ii) 9 A.M. iii) 2 P.M. iv) 4 P.M. b. At what time does the temperature increase most rapidly? Decrease most rapidly? What is the rate for each of those times? c. Use the graphical technique of Example 3 to graph the de- rivative of temperature T versus time t. Temperature (°F)
Temperature The given graph shows the outside temperature T in °F, between 6 A.M. and 6 P.M. т 80 70 60 50 40 3 12 9 A.M. 6 A.M. 12 NOON 3 P.M. 6 P.M. Time (hr) a. Estimate the rate of temperature change at the times i) 7 A.M. ii) 9 A.M. iii) 2 P.M. iv) 4 P.M. b. At what time does the temperature increase most rapidly? Decrease most rapidly? What is the rate for each of those times? c. Use the graphical technique of Example 3 to graph the de- rivative of temperature T versus time t. Temperature (°F)
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
![Temperature The given graph shows the outside temperature T
in °F, between 6 A.M. and 6 P.M.
т
80
70
60
50
40
3
12
9 A.M.
6 A.M.
12 NOON
3 P.M.
6 P.M.
Time (hr)
a. Estimate the rate of temperature change at the times
i) 7 A.M.
ii) 9 A.M.
iii) 2 P.M.
iv) 4 P.M.
b. At what time does the temperature increase most rapidly?
Decrease most rapidly? What is the rate for each of those
times?
c. Use the graphical technique of Example 3 to graph the de-
rivative of temperature T versus time t.
Temperature (°F)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffffba645-81a0-4829-acac-18b23ba4b421%2F22857e7e-bc95-455a-b867-a3e6f2f111fb%2Fvv4d836.png&w=3840&q=75)
Transcribed Image Text:Temperature The given graph shows the outside temperature T
in °F, between 6 A.M. and 6 P.M.
т
80
70
60
50
40
3
12
9 A.M.
6 A.M.
12 NOON
3 P.M.
6 P.M.
Time (hr)
a. Estimate the rate of temperature change at the times
i) 7 A.M.
ii) 9 A.M.
iii) 2 P.M.
iv) 4 P.M.
b. At what time does the temperature increase most rapidly?
Decrease most rapidly? What is the rate for each of those
times?
c. Use the graphical technique of Example 3 to graph the de-
rivative of temperature T versus time t.
Temperature (°F)
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